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BUILT-IN MATHEMATICA SYMBOL
LegendreQ
LegendreQ[n, z]
gives the Legendre function of the second kind 
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LegendreQ[n, m, z]
gives the associated Legendre function of the second kind 
.
Details
- Mathematical function, suitable for both symbolic and numerical manipulation.
- For integers n and m, explicit formulas are generated.
- The Legendre functions satisfy the differential equation
. - LegendreQ[n, m, a, z] gives Legendre functions of type a. The default is type 1.
- LegendreQ of types 1, 2, and 3 are defined in terms of LegendreP of these types, and have the same branch cut structure.
- For certain special arguments, LegendreQ automatically evaluates to exact values.
- LegendreQ can be evaluated to arbitrary numerical precision.
- LegendreQ automatically threads over lists.
Legendre function of the second kind:
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